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303430042100 = 225229179584531
BaseRepresentation
bin1000110101001011101…
…01110000000111110100
31002000012120011012221102
410122211311300013310
514432411042321400
6351221022505232
730631164542153
oct4324565600764
91060176135842
10303430042100
11107758391739
124a982135218
13227c8642913
14109868cd59a
157d5d89c9d5
hex46a5d701f4

303430042100 has 72 divisors (see below), whose sum is σ = 684954597600. Its totient is φ = 116531900800.

The previous prime is 303430042081. The next prime is 303430042103. The reversal of 303430042100 is 1240034303.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303430042103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226835 + ... + 811365.

It is an arithmetic number, because the mean of its divisors is an integer number (9513258300).

Almost surely, 2303430042100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303430042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342477298800).

303430042100 is an abundant number, since it is smaller than the sum of its proper divisors (381524555500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

303430042100 is a wasteful number, since it uses less digits than its factorization.

303430042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584753 (or 584746 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 303430042100 its reverse (1240034303), we get a palindrome (304670076403).

The spelling of 303430042100 in words is "three hundred three billion, four hundred thirty million, forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 179 290 358 580 716 725 895 1450 1790 2900 3580 4475 5191 8950 10382 17900 20764 25955 51910 103820 129775 259550 519100 584531 1169062 2338124 2922655 5845310 11690620 14613275 16951399 29226550 33902798 58453100 67805596 84756995 104631049 169513990 209262098 339027980 418524196 423784975 523155245 847569950 1046310490 1695139900 2092620980 2615776225 3034300421 5231552450 6068600842 10463104900 12137201684 15171502105 30343004210 60686008420 75857510525 151715021050 303430042100